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Finding the Fourth Proportional to 47,199.74, 70,782.75 and 15,603.97

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Solution

The fourth proportional to 47,199.74, 70,782.75 and 15,603.97 is: 23,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,199.74 : 70,782.75 = 15,603.97 : x
  2. Step 2: Convert to fraction form
    47,199.74/70,782.75 = 15,603.97/x
  3. Step 3: Cross multiply
    47,199.74x = 70,782.75 × 15,603.97
  4. Step 4: Simplify right side
    47,199.74x = 1,104,491,907.52
  5. Step 5: Solve for x
    x = 1,104,491,907.52/47,199.74
  6. Step 6: Final answer
    x = 23,400.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.